A kites string is fastened to the ground. the string is 324ft long and makes an angle of 68 degrees with the ground. A model of this is shown below. use the law of sites (sin A/a=sin B/b) to determine how many feet the kite is above the ground (x). Enter the value, rounded to the nearest foot. (PLEASE)​

A kites string is fastened to the ground the string is 324ft long and makes an angle of 68 degrees with the ground A model of this is shown below use the law of class=

Respuesta :

Answer:

x = 300 feet

Step-by-step explanation:

In the given right triangle,

Length of the string of the kite = 324 feet

Angle between the string and the ground = 68°

By applying law of Sines in the given right triangle,

[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}[/tex]

Now we substitute the values of angles and sides in the formula,

[tex]\frac{\text{Sin68}}{x}=\frac{\text{Sin90}}{324}[/tex]

[tex]\frac{\text{Sin68}}{x}=\frac{1}{324}[/tex]

x = 324 × Sin(68)°

x = 300.41 feet

x ≈ 300 feet

Therefore, measure of side x = 300 feet will be the answer.